Let for all and

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let

f(x+y) = f(x) + f(y)

for all

x

and

y

. If the function

f(x)

is continuous at

x = 0

, show that

f(x)

is continuous for all

x

.

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